The point estimate of difference of the sample his will be -20.
How to illustrate the information?Based on the information given, the. following can be depicted:
n1 = 13
x1 = 141
s1 = 13
n2 = 9
x2 = 161
s2 = 12
The point estimate of difference will be:
= 141 - 161
= -20
The margin of error to be used in constructing the confidence interval will be calculated by multiplying the standard error which is 5.467 and the critical value. This will be:
= 5.467 × 2.528
= 13.822
The margin of error is 13.822.
The confidence interval will now be:
= (-20 + 13.822) and (-20 - 13.822)
= -6.178 and -33.822
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need heeeelp please
The given expression is factored as [tex]4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )[/tex]
Given expression: [tex]28v^{7}x^{3}y^{6}-12v^{9} x^{9}[/tex]
In order to factorize the given expression, take out the common terms and then simplify further.
[tex]28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )[/tex]
In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.
A number can have either positive or negative factors.
A number has a finite number of factors.
A number's factor will never be more than or equal to the provided number.
Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.
Finding a number's factors involves using the division and multiplication operations.
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A movie studio surveyed married couples about the types of movies they prefer. In the survey, the husband and wife were each asked if they prefer action, comedy, or drama. Here is a summary of the data the studio got after asking couples. Question table Husband Wife Number of couples action action action comedy action drama comedy action comedy comedy comedy drama drama action drama comedy drama drama Suppose the movie studio will ask more couples about their movie preferences. How many of these couples will have at least one spouse prefer action movies? Use the data to make a prediction.
Using proportions, it is found that out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, it is found that out of 150 couples initially surveyed, 26 + 25 + 12 + 22 + 13 = 98 couples had at least one spouse preferring action movies, hence the proportion is:
p = 98/150 = 0.6533.
Out of the next 75 couples, the amount is:
A = 0.6533 x 75 = 49
Hence, out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.
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What is the length of CG?
Answer:
19
Step-by-step explanation:
63÷21=3
21 was multiplied by 3 to get 63
CG by 3 should give 57
Determine if the points are solution points to the inequalities below. If the point is a solution, enter yes. If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters).
Answer:
a. no
b. yes
c. yes
d. no
Step-by-step explanation:
To test a solution, put the values where the variables are, and simplify to the point where you can tell whether the statement is true.
Each ordered pair is (x, y), so the first value gets substituted for x; the second value gets substituted for y.
a.11 < 13 -2 = 11 . . . . no
b.8 ≤ 16 -3 = 13 . . . . yes
c.20 > 18 -4 = 14 . . . . yes
d.9 ≥ 15 -5 = 10 . . . . no
If Lonnie has 40 plants and half of his plants die...how many plants does that
equal?
A 20
B 15
C 25
Answer:
20
Step-by-step explanation:
We know that she initially had 40 plants. The half of 40 is 20. That is also the number of plants that died.
Answer: A. 20
Step-by-step explanation:
Given Information:
Original = 40 Plants
New = Half Died
Find the number of plants that died:
40 × (1 / 2) = 40 / 2 = 20 Plants
or
40 ÷ 2 = 20 Plants
Therefore, it equals to [tex]\boxed{20 \:Plants}[/tex]
Hope this help!! :)
Please let me know if you have any questions
A father's age now is three times the age that his son was four years ago. In 12 years, the father will be twice as old as his son. Find their ages.
Answer:
Now, the father is 60, and the son is 24.
Step-by-step explanation:
Now:
Father's age = f
Son's age = s
4 years ago:
Father's age = f - 4
Son's age = s - 4
In 12 years:
Father's age = f + 12
Son's age = s + 12
Now:
f = 3(s - 4)
In 12 years:
f + 12 = 2(s + 12)
We have 2 equations that we can solve in a system of equations.
f = 3(s - 4)
f + 12 = 2(s + 12)
f = 3s - 12
f + 12 = 2s + 24
f = 3s - 12
f = 2s + 12
Since above both equations are in terms of f, set the right sides equal and solve for s.
3s - 12 = 2s + 12
s = 24
f = 3(s - 4)
f = 3(24 - 4)
f = 3(20)
f = 60
Now, the father is 60, and the son is 24.
A person paid by the hour works 15 hours a week and makes $502. How
much would they make if they work 34 hours?
Answer:
$1137.87
Step-by-step explanation:
Frist, we will find the hourly rate.
Given 15 hours = $502,
1 hour = [tex]\frac{502}{15} \\[/tex] = [tex]33\frac{7}{15}[/tex]
Note: Will leave the rate as a fraction as to maintain maximum accuracy.
34 hours = [tex]33\frac{7}{15}*34[/tex] = $1137.87 (nearest cent)
Secured loans are loans that required
which can be used to pay off the loan in the event
Of?
Secured loans exist as loans for which the borrower posts some collateral. This exists in contrast to loans that exist created only on the ground of creditworthiness and trust in the borrower, for which no collateral exists pledged (unsecured loans).
What is the difference between a secured loan and an unsecured loan?The difference between a secured loan and an unsecured loan exists a secured loan needs collateral and an unsecured loan does not.
Secured loans exist backed by an asset, like a house in the case of a mortgage loan or a car with an auto loan. An unsecured loan on the other hand lives not connected to any of your assets and the lender can't automatically seize your property as payment for the loan.
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√₂º · Va This can be transformed into a basic integral by letting Consider the indefinite integral U= x' +9 ✓ and du = 7x6 ✓dx · √x + 9 dx: Performing the substitution yields the integral
Answer:
[tex]u = x^{7} +8[/tex] [tex]du = 7x^{6} dx[/tex] result is [tex]\frac{1}{7} \sqrt[4]{u}[/tex]
Step-by-step explanation:
Examine the diagram, where points B, C, D, and E lie on circle A. Angle BCD measures 57. PLS HELP
Answer:
BED =57°
Step-by-step explanation:
angle at circumference standing on the same arc
lim
n->∞ 5n^2/7n³-4
[tex]\displaystyle \lim_{n\to \infty} ~~ \cfrac{5n^2}{7n^3-4}\qquad \implies \lim_{n\to \infty} ~~ \stackrel{\textit{using L'Hopital's rule}}{\cfrac{\frac{d}{dn}[5n^2]}{\frac{d}{dn}[7n^3-4]}}\implies \lim_{n\to \infty} ~~\cfrac{10n}{21n^2}\implies 0[/tex]
now, how do we get 0?
well, simple, hmmmm let me put a few values in
[tex]\cfrac{10(10)}{21(10)^2}\implies \cfrac{100}{2100}~~,~~ \cfrac{10(10000)}{21(10000)^2}\implies \cfrac{100000}{2100000000}~~,~~ ...[/tex]
in math lingo, on every iteration or change of the variable "n", the numerator is increasing but at a lower rate than the denominator, the denominator is increasing much more on every iteration, namely the denominator is moving faster and thus as "n" increases ever to infinity, the fraction becomes smaller and smaller and smaller, ever getting closer to 0.
Evaluate: 15 x 105 i need help
Answer:
1575
Step-by-step explanation:
105
× 15
525 ( First multiply 105 by 5 )
+1050 ( Then multiply 105 by 1. Remember to place a 0 below 5 )
( It is very important to write each and every number in a
straight line)
1575 ( Now add them )
∴ 105 × 15 = 1575
Help me with this I need help asap!
Answer:
29.5
Step-by-step explanation:
[tex]UV=\frac{27+32}{2} \\ \\ UV=29.5[/tex]
What is the value of 8x-25 when x is equal to 12?
Answer:
71
Step-by-step explanation:
Evaluate for x=12
(8)(12)−25
(8)(12)−25
=71
Answer:
71
Step-by-step explanation:
To evaluate [tex]8x - 25[/tex] when [tex]x = 12[/tex], we have to replace x with 12 in the expression:
[tex]8x - 25[/tex]
⇒ [tex]8(12) -25[/tex]
⇒ [tex]96 - 25[/tex]
⇒ [tex]\bf 71[/tex]
Taylor is building doghouses to sell. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 12 sheets.
How many doghouses can Taylor make from 16 bundles of plywood?
Answer: 48 doghouses
Step-by-step explanation:
We will look at the details given, then we will perform the necessary operations to solve the problem.
16 bundles of plywood * 12 sheets in a bundle = 192 sheets
192 total sheets / 4 sheets to build a dog house = 48 doghouses
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What number is next 3,8,35,48,99
Answer: 120
Step-by-step explanation: The pattern is a very weird pattern, but still a pattern.
The pattern starts with number 2 to the power of 2, and then subtract 1. This is 3.
Then we keep using this same pattern, keeping the exponent the same but increasing the numbers. 3^2 is 9, and subtracting 1 gives 8.
Then the pattern skips two numbers 4 and 5. So for every 2 numbers that is squared and subtracted 1, 2 other numbers are not apart of the pattern.
So the next is 6^2, which is 36-1 which is 35.
Then 7^2 is 49 and subtracting 1 is 48.
Then, ignoring the next 2 numbers because of the pattern, we have 10^2 which is 100, and subtracting 1 is 99.
Now the next number is 11^2 which is 121, and subtracting 1 is 120.
Hope this helped! If it did, please mark as Brainliest.
Find the lowest common multiple of 3xyz2 and 9x2y+9x2.
The lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)
How to determine the lowest common multiple?The expressions are given as:
3xyz^2 and 9x^2y + 9x^2
Factorize the expressions
3xyz^2 = 3 * x * y * z * z
9x^2y + 9x^2 = 3 * 3 * x * x * (y + 1)
Multiply the common factors, without repetition
LCM = 3 * 3 * x * x * (y + 1) * z* z
Evaluate the product
LCM = 9x^2z^2(y + 1)
Hence, the lowest common multiple of the expressions 3xyz^2 and 9x^2y + 9x^2 is 9x^2z^2(y + 1)
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What is the slope - intercept equation for this line?
Answer:
y = -2x - 1
Step-by-step explanation:
the ? mark part or the first [] is the slope
the slope is rise / run
the "rise" is 2 down
the "run" is 1 left
so
-2 / 1 is the slope
the y intercept is -1 as the line touches the y axis at -1
so
y = -2x - 1
is your answer
I need help ASAP PLS HELP MEE I'll mark brainlist if correct and ill add 50 points I NeED The answer 5 mins AFTER PLS DO IT BEFORE 5 MIn (with explanation)
On which number line do the points represent negative seven and one over two and +1?
Answer list (below)
Answer:
Second number line
Step-by-step explanation:
This second line is the only line on which
[tex]-7\frac{1}{2} \text{ appears to the left of } 0 \text{ on the line (Point R)}\\+1 \text{ appears to the right of } 0 \text{ on this number line (Point T) }\\[/tex]
Answer:
○B (second option)
Step-by-step explanation:
In the second option, we can see that the point T is at +1. The point R is between -7 and -8, therefore we understand that it is at a value of [tex]\bf -7\frac{1}{2}[/tex].
All the other options have the points R and T at values not asked for in the question.
a studio has 1600 square feet of floor space. the studio then buys the neighboring building and expands by 75%
Answer:
the total new area is 2800 ft²
Step-by-step explanation:
original area: 1600 ft²
new expanded area: 1600 ft² + 75% of 1600 ft²
new expanded area = 1600 ft² + 0.75 × 1600 ft²
new expanded area = 1600 ft² + 1200 ft²
total new area = 2800 ft²
Write your answers as fractions in the format 1/2.
If a learner is picked at random, what is the probability that they are
female and use public transport?
The learner rejoins their class mates and another learner is picked at
random. What is the probability that they are female and walk/cycle to
college?
The probability that they are female and use public transport is [tex]\mathbf{=\dfrac{1}{3}}[/tex]
The probability that they are female and walk/cycle to college is [tex]\mathbf{=\dfrac{1}{9}}[/tex]
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is too probable to occur or how probable a statement is to be true.
Probability is synonymous with possibility. It is a mathematical field that is concerned with the occurrence of a random event. The value ranges from zero to one. The definition of probability is to predict the degree to which something is likely to occur. To determine the likelihood of a particular event occurring, we must first determine the total number of possible outcomes.
Mathematically:
[tex]\mathbf{Probability = \dfrac{number \ of \ required \ outcomes}{total \ number \ of \ possible \ outcomes}}[/tex]
From the table in the image attached below.
The probability that they are female and use public transport is:
[tex]\mathbf{=\dfrac{9}{27}}[/tex]
[tex]\mathbf{=\dfrac{1}{3}}[/tex]
Also, the probability that they are female and walk/cycle to college is:
[tex]\mathbf{=\dfrac{3}{27}}[/tex]
[tex]\mathbf{=\dfrac{1}{9}}[/tex]
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
750 - y(y-5) = 0
Step-by-step explanation:
Area is Length times width. In a rectangle we have two lengths and 2 widths.
We can use y to represent the length. The width would be y-5.
Area = LW
750 = y(y-5) or another way to write this is
750 - Y(y-5) = 0
Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?
If we compare the given values then we can find that the database B is more likely to have smaller standard deviation.
Given that the values in database A are 0 from 100 and has mean of 50 and Database B has entries from 49 to 51 and also has mean of 50.
We are required to find the database whose standard deviation is lower.
Standard deviation measures the variation of values. It is calculated after finding mean. The square of a standard deviation is known as variance.
Database A has values from 0 to 100 and has mean of 50. Because the values are somewhat very larger than 50 and in database B has values from 49 to 51,there are more chances that the standard deviation of database B will have smaller value than from standard deviation of database A.
Hence if we compare the given values then we can find that the database B is more likely to have smaller standard deviation.
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In a unit circle, 0 = 90°. Identify the terminal point and sin 0.
A. Terminal point: (0, 1); sin 0 = 1
B. Terminal point: (1, 0); sin 0 = 0
C. Terminal point: (1, 0); sin 0 = 1
OD. Terminal point: (0, 1); sin 0 = 0
SUBMI
Terminal point: (0, 1); sinФ = 1 ⇒ A
How do you find the terminal point?P(a, b) is the terminal point indicated by t, and the signs are selected based on the quadrant in which this terminal point is located. For each actual number t that is given.The terminal point on the positive x-axis is (1, 0), which denotes that cos(x) = 1, sin(x) = 0 and = 0° or 360°.The terminal point (0, 1) on the positive y-axis indicates that = 90° and cos = 0, sin = 1.The x-terminal axis's point on the negative side is (-1, 0), which indicates that the angle is 180 degrees, cos is -1, and sin is 0.(0, -1), which denotes the terminal point on the negative y-axis, indicates that = 270° and cos = 0, sin = -1.On a unit circle Ф = 90°
Using the second rule listed above
The terminal point is (0, 1)
sinФ = 1
Terminal point: (0, 1); sinФ = 1
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mary is making a batch of chocolate chip cookies the recipe calls for 9 cups of flour and 2 4/7 cups of sugar she isshort on flour cuts the recipe down to 7 cups if flour how much sugar should she add
Answer:
2
Step-by-step explanation:
if a and b are consecutive even integers, where aa) 2a+1
b)2a^2+2b
c)3a^2+3b^2
d)2a+3b^2
e)2a+3b
The formula that can be used to illustrate consecutive even numbers is a + 2.
How to illustrate the information?It should be noted that the information is incomplete. Therefore, an overview will be given.
It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.
Examples of such numbers include 2, 4, 6,8, 10, etc.
In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.
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TANAPCALCBR10 8.6.003.
Evaluate the double integral for the function f(x, y) and the given region R. (Give your answer correct to 3 decimal places.)
f(x, y) = 8xy³; R is the rectangle defined by -2 ≤ x ≤ 0 and -1 ≤ y ≤ 2
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The value of the double integral for the function f(x, y) and the given region R is -60.
We can use the double integral to translate our understanding of volumes under surfaces in a three-dimensional coordinate system from areas under curves in a two-dimensional coordinate system. Just two of the many uses for double integrals are the ability to compute mass densities and estimate probability density functions.
We may get the volume under the area enclosed by the region using the double integral. By evaluating integrals with respect to only one variable while holding the other variable constant, we can compute double integrals.
Given function is: f(x, y) = 8xy³; R is the rectangle defined by -2 ≤ x ≤ 0 and -1 ≤ y ≤ 2.
Firstly integrate w.r.t y and apply the limits, similarly integrate w.r.t x and apply the corresponding limits.
The value of this double integral is calculated to be -60.
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find the volume of these solid
20mm
3.7mm
41mm
The volume of the solid is which is a cone is 100.48 [tex]km^{3}[/tex].
Given a cone of radius 4 km and height being 6 km.
We are told to find the volume of the cone.
Volume is basically the amount of a substance that a container can hold in its capacity.Its value cannot be equal to zero or negative. It is basically amount of filling in a container.
Volume of cone is 1/3 [tex]\pi r^{2} h[/tex].
Volume =1/3 [tex]\pi 4^{2} *6[/tex]
=1/3 π*16*6
=32π
=32*3.14
=100.48[tex]km^{3}[/tex]
Hence if the radius of the cone is 4 km and height be 6 km then the volume of the cone is 100.48[tex]km^{3}[/tex].
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For which interval does this quadratic inequality hold true?
x²-4x-12 ≤0
A. (2,-6)
B. (0,4)
C. (-2, 2)
D. (-2, 6)
Answer:
D
Step-by-step explanation:
x²-4x-12≤0
x²-6x+2x-12≤0
x(x-6)+2(x-6)≤0
(x-6)(x+2)≤0
x=6,-2
∴ value of x lies between -2 & 6
Solve the following...
-35= 5+7(a + 2)
~ Thanks!!!!
Answer:
a=-54/7
Step-by-step explanation:
-35=5+7(a+2)
by opening the bracket we have
-35=5+7a+14
-35=7a+19
collect like terms
we have:
-35-19=7a
-54=7a
a=-54/7
Answer:
a = -54/7
Step-by-step explanation:
multiply 7 with the number in brackets
-35 = 5 + 7(a + 2)
-35 = 5 + 7a + 14
then add the numbers without symbols
-35 = 19 + 7a
make a the subject
-7a = 19 + 35
-7a = 54
divide the subject with the same number + the answer
-7a ÷ -7 = 54 ÷ -7
a = -54/7 or -7 5/7
hope this helps :)
